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Lecturer(s)
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Břehovský Jiří, Mgr. Ph.D.
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Příhonská Jana, doc. RNDr. Ph.D.
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Course content
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Theoretical introduction into following themes: algebraic structures with 1 and 2 operations. Introduction of semiring of natural numbers - cardinala and ordinal numbers, Pean˘s set. Construction the term of natural numbers. Principles, methods and forms work in teaching mathematics. Preparation of the teacher for lessons, structure of the lesson. Work with textbook and iads. To provide students with knowledge and skills for education of all parts of arithmetic at 1st grade of basic school - numeration, calculations and work with text-based tasks, methodical approaches of matter explanation, work with curricular instruments, opinion. Annotation of arithmetic terms. Lectures: 1.- 2. Algebraic structures. Algebraic structures with one and two operations. 3.- 4. Semicircle of natural numbers. Cardinal numbers. Ordinal numbers. Pean?s aggregate. Introduction and properties of semicircle of natural numbers. 5.- 6. Principles, methods, approaches and forms of work in mathematics. 7.- 8. Preparation of teacher for lectures. Framework educational program for basic education. Structure of lecture. 9.-10. Work with textbook and teaching aids, their classification. Principles for use of the aids. 11.-12. Building of term of natural number. Extension of numeric field on basic school. 13.-14. Reserve. Exercises: Practicing lectured themes. 1.- 2. Framework educational program for basic education (1.- 5. gr.). Mathematical teaching aids and textbooks. 3.- 4. Mathematical symbols, mathematical definitions. 5.- 6. Mathematical theorems and proves. Samples of representation. 7.- 8. Binary relation ? equality, inequality, arrangement, divisibility. 9.- 10. Projections, functions. Comparison of figures, tables, graphs 11.- 12. Binary operations, their properties. Basic calculation tasks ? memorized, written 13.- 14. Preparation for the lecture. Methods and forms of work.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing)
- Class attendance
- 42 hours per semester
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Learning outcomes
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Theoretical introduction into following themes: algebraic structures with 1 and 2 operations. Introduction of semiring of natural numbers - cardinala and ordinal numbers, Pean˘s set. Construction the term of natural numbers. Principles, methods and forms work in teaching mathematics. Preparation of the teacher for lessons, structure of the lesson. Work with textbook and iads.
Theoretical piece of knowledge and practical acquirements from required area.
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Prerequisites
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Knowledge of secondary school mathematics.
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Assessment methods and criteria
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Presentation of artistic and creative activities
Presence in seminars. Pass 2 tests. Secondary school mathematics and Elementary arithmetic 1. Semestral work - preparation of mathematical warm-up, preparation to teaching lesson.
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Recommended literature
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Osnovy a metodické příručky k těmto učebnicím..
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Rámcový vzdělávací program pro ZV..
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Učebnice matematiky pro 1.-5. ročník základní školy..
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Vzdělávací program Základní škola. Praha, Fortuna 1996..
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Divíšek, J. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha, SPN 1989..
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Drábek, J. a kol. Základy elementární aritmetiky pro učitelství 1. stupně ZŠ. 1985. Praha, SPN, 1989..
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Odvárko, O. Metody řešení matematických úloh. Praha, SPN, 1990. ISBN 80-04-20434-1..
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